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SMM did you try the calculator? Cause if you plug in all of the values in the websites calculator it comes up with x=3.

HOW DID YOU GET 3 it makes no sense from 1.5 + x = 375 + .25 

I GOT NINE DAMNIT!!! WHAT IS WRONG WITH ME!!!!

original amount of banana chips = 10% x 15 lbs = 1.5 pounds

add x pounds of banana chips......   now you have   1.5 + x  lbs of banana chips in the mix

    the final mix has the same amaount of banana chips

       the final mix is 25% banana chips     the final weight is  15 + x  

            so the final amount of banana chips is  .25(15+x)....

                 and as stated above, this equals     1.5 + x

sooooo   1.5 + x = .25(15+x)       solve this for x......you will find x = 3 lbs

Could you show me how you got 3??

Here is the solution of the first one.

I THINK this is the box part:

old mix      15       10   = 1.5

add bc        3       100 =  3

new mix     18       25   = 4.5

Yes but i didn't realize how hard the box part was. how did you get 3 lbs?

You asked for the solution and you would do the box part....the solution is add 3 lbs of banana chips to the original 15 lb mixture to get 18 pounds of 25% banana chips.....     OK now?  

im sorry but im confused again

15 lbs * 10 %  = 1.5 lbs banana

  now add x lbs banana chips

1.5 + x lbs = 25% * (15 lbs + x lbs)

1.5 + x = 3.75 + .25 x     solve for x = 3 lbs banana chips

\(i) ~\dbinom{6}{2} = 15\\ ii)~52\cdot 51\cdot 50\cdot 49\cdot 48 = ‭311875200‬\)

sorry, thx i got it!!!!!!!! we have to use the box method sadly.

Correct-a-mundo!

It is WAY easier to solve this NOT using the clumsy box method:

You have two equations:

300 = 2(s+w)     or    150 = s+w      (by dividing both sides of the equation by 2)

270 = 2 (s-w)     or    135 = s-w           <------ Now ADD the two equations together

                                 285 + 2s       thus s = 142.5 = plane speed in still air

I havn't any idea how to make this into a quadratic to solve by the Box method

(this ' box method', I think is crazy....sorry you are being taught this method)...

I got plane speed is  142.5 mph and wind speed is 7.5 mph.

it is supposed to be the box way of solving it, nevermind. But I can't solve a problem with two variables.

What box?

Thank you! 

The Tan function is flipped around the x axis....so it is one of the   - tan    answers

The graph is shifted to the RIGHT (or it COULD be shifted to the left.....but that is not one of the answers)  

    if shifted to the right then pi/2 is SUBTRACTED

so answer  D

I can't solve that, it has two variables.

When flying WITH the wind his rate is   s +w        where s = plane speed  w = wind speed

so   d = r * t

       300 = (s+w) * 2

AGAINST the wind, his rate is   s - w

so  270 = (s-w)*2                                       Now you have two equations and two unknowns....solve the system of equations to find ' s '

The figure shows Angel Stadium of Anaheim and the triangle formed by home plate, the right center field fence, and third base. In the figure, the approximate distance from the right center field fence to third base is 339.4 ft.

You could also use the Law of sines to find the angle at right center  ....then use the law of sines AGAIN to calculate 'x ft '  ( knowing there are 180 degrees in a triangle to find angle at 3rd base)       you will get the same answer:  3*0.0 ft        Let me know what you find ' * ' to be when you calculate it !

You are looking for  '  x ft '  in the diagram......

You could use the Law of Cosines     You know two sides of the triangle    90 ft  and  339.4 ft    and you know angle 63.4

c²  = a²  + b² -2a b Cos (angle C)          

c = 339.4       a = 90    b= x ft   angle C = 63.4      Plug and Play !

Thanks, I will try doodling now.